Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1375 and 1382 the smallest integer that is 1900250 that is divisible by both numbers.
Least Common Multiple (LCM) of 1375 and 1382 is 1900250.
LCM(1375,1382) = 1900250
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1375 and 1382. First we will calculate the prime factors of 1375 and 1382.
Prime Factorization of 1375
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1375 are 5,11. Prime factorization of 1375 in exponential form is:
1375 = 53×111
Prime Factorization of 1382
2 | 1382 |
691 | 691 |
1 |
Prime factors of 1382 are 2,691. Prime factorization of 1382 in exponential form is:
1382 = 21×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 1375 and 1382.
LCM(1375,1382) = 21×53×111×6911
LCM(1375,1382) = 1900250
Factors of 1375
List of positive integer factors of 1375 that divides 1375 without a remainder.
1, 5, 11, 25, 55, 125, 275, 1375
Factors of 1382
List of positive integer factors of 1382 that divides 1382 without a remainder.
1, 2, 691, 1382
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1375 and 1382, than apply into the LCM equation.
GCF(1375,1382) = 1
LCM(1375,1382) = ( 1375 × 1382) / 1
LCM(1375,1382) = 1900250 / 1
LCM(1375,1382) = 1900250
(i) The LCM of 1382 and 1375 is associative
LCM of 1375 and 1382 = LCM of 1382 and 1375
1. What is the LCM of 1375 and 1382?
Answer: LCM of 1375 and 1382 is 1900250.
2. What are the Factors of 1375?
Answer: Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. There are 8 integers that are factors of 1375. The greatest factor of 1375 is 1375.
3. What are the Factors of 1382?
Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.
4. How to Find the LCM of 1375 and 1382?
Answer:
Least Common Multiple of 1375 and 1382 = 1900250
Step 1: Find the prime factorization of 1375
1375 = 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 1382
1382 = 2 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1900250 = 2 x 5 x 5 x 5 x 11 x 691
Step 4: Therefore, the least common multiple of 1375 and 1382 is 1900250.